This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Gakhov F.D. Boundary value problems. Moscow, 1977 (in Russian).
Khimshiashvili G.N. On Riemann boundary value problem with values in a compact Lie group.-Trudy IPM TGU, v.3, No.1, 1988 (in Russian).
Khimshiashvili G.N. On Riemann-Hilbert problem for a compact Lie group.-DAN SSSR (Soviet Math. Doklady), 1990, v.310, No.5.
Eells J.Fredholm structures. In: Proc. Symp. Pure Math., vol.18, AMS, 1970.
Pressley A., Segal G. Loop groups. Clarendon Press, Oxford, 1988.
Boyarski B. Abstract problem of a linear conjugation and Fredholm pairs of subspaces. In: Boundary value problems. Tbilisi, 1979 (in Russian).
Bojarski B. Some analytical and geometrical aspects of the Riemann-Hilbert problem. In: Complex analysis. Berlin, 1983.
Adams J.F. Lectures on Lie groups. W.A.Benjamin Inc., N.Y.-Amsterdam, 1969.
Disney S. The exponents of loops on the complex general linear group.-Topology, 1973, V.12, No.4.
Atiyah M., Singer I. Index theory for skew-adjoint G Fredholm operators.-Publ. Math. IHES, 1970, V.37, 5–26.
Khimshiashvili G. Lie groups and transmission problems on Riemann surfaces.-Soobshch. Akad. Nauk Gruz. SSR, 1990, V.137, No.1.
Elworthy K., Tromba A. Differential structures and Fredholm maps on Banach manifolds.-Proc. Symp. Pure Math., 1970, V.15.
Freed D. The geometry of loop groups.-J. Diff. Geometry, 1988, V.28, No.3.
Bott R. The space of loops on a Lie group.-Mich. Math. J., 1958, V.5, No.1.
Palamodov V.P. Deformations of complex spaces. In: Encyclopaedia of Mathematical Sciences. Vol.10, Springer, 1989.
Laiterer Yu. Holomorphic vector bundles and the Oka-Grauert principle. In: Encyclopaedia of Mathematical Sciences. Vol.10. Springer, 1989.
Muskhelishvili N.I. Singular integral equations. Moscow, 1977 (in Russian).
Uhlenbeck K. Harmonic maps in a Lie group.-Preprint, Univ. Chicago, 1985.
Bitsadze A.V. Introduction to the theory of analytic functions. Moscow, 1974 (in Russian).
Onishchik A.L. Some notions and applications of the theory of nonabelian cohomologies.-Trudy Mosk. Mat. obshchestva. V.17, 1962 (in Russian)
Doi H. Nonlinear equations on a Lie group.-Hiroshima Math. J., 1987, V.17, 535–560.
Koshorke U. K-theory and characteristic classes of Fredholm bundles.-Proc. Symp. Pure Math., 1970, V.15, 95–133.
Mityagin B.S. Homotopic structure of a linear group of a Banach space.-Uspekhi mat. nauk (Russian Math. Surveys), 1970, V.25, vyp.5.
Khimshiashvili G.N. To the theory of algebras of singular operators.-In: Trudy Tbil. matem. instituta, 1987 (in Russian).
Freed D. An index theorem for families of Fredholm operators.-Topology, 1988, V.27, No.3.
Forster O. Riemannian Surfaces. Springer, 1977.
Rodin Yu. Generalized analytic functions on Riemann surfaces.-Lect. Notes in Math., 1987, V.1288.
Brackx F., Delanghe R., Sommen F. Clifford Analysis. Pitman, 1982.
Zaidenberg M., Krein S., Kuchment P., Pankov A. Banach bundles and linear operators.-Uspekhi mat. nauk (Russian Math. Surveys), 1975, v.30, No.5.
Shnirel'man A.S. Nonlinear Hilbert problem and degree of quasi-regular mapping.-Mat. sbornik (Soviet Math. Sbornik), 1972, v.89, No.3.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag
About this paper
Cite this paper
Khimshiashvili, G.N. (1992). On fredholmian aspects of linear transmission problems. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications V. Lecture Notes in Mathematics, vol 1520. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084722
Download citation
DOI: https://doi.org/10.1007/BFb0084722
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55583-4
Online ISBN: 978-3-540-47223-0
eBook Packages: Springer Book Archive